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Ira Lisetskai [31]
3 years ago
13

Find the measure of x.

Mathematics
1 answer:
Ratling [72]3 years ago
7 0
<h3>Answer:  B.  x = 6</h3>

==========================================================

Explanation:

Since the vertical lines are parallel, this means the alternate exterior angles shown are congruent.

Set them equal to each other and solve for x.

15(x+2) = 120

15x+30 = 120

15x = 120-30

15x = 90

x = 90/15

x = 6

Or we could have the steps like this

15(x+2) = 120

x+2 = 120/15

x+2 = 8

x = 8-2

x = 6

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The table shows a linear relationship between x and y.
vovangra [49]

Answer:

Step-by-step explanation:b

4 0
3 years ago
Solve.<br> 4 x + 6 &lt; − 6<br><br> Thankyou In advance :&gt;
andrew-mc [135]

Answer:

x < -3

Step-by-step explanation:

Step 1: Subtract 6 from both sides.

  • 4x + 6 - 6 < -6 - 6
  • 4x < -12

Step 2: Divide both sides by 4.

  • \frac{4x}{4} < \frac{-12}{4}
  • x < -3

Therefore, the answer is x < -3.

6 0
3 years ago
Which of the binomials below is a factor of this trinomial ? X^2 + x + 12
PolarNik [594]
That trinomial can't be factored. You would have to complete the square to factor it and even then your answer would be an imaginary number. 

x² + x + 12 = 0
x² + x = - 12
x² + x + 1/4 = - 12 + 1/4
x² + x + 1/4 = - 11 3/4
x² + x + 1/4 = - 47/4

(x + 1/2)² = - 47/4 
x + 1/2 = +/- √(- 47/4) 
x + 1/2 = +/- \frac{47}{4}i

x = 1/2 +/- \frac{47}{4}i

If the constant was a negative, it would be factor-able (is that a word?). 

5 0
4 years ago
Carpetland salespersons average $8000 per week in sales. Steve Contois, the firm's vice president, proposes a compensation plan
Crazy boy [7]

Answer:

Step-by-step explanation:

a) The null hypothesis is the hypothesis that is assumed to be true. It is an expression that is the opposite of what the researcher predicts.

The alternative hypothesis is what the researcher expects or predicts. It is the statement that is believed to be true if the null hypothesis is rejected.

From the given situation,

Carpetland salespersons average $8000 per week in sales. This is the null hypothesis.

H0: µ = 8000

Steve hopes that the results of a trial selling period will enable him to conclude that the compensation plan increases the average sales per salesperson. This is the alternative hypothesis.

Ha: µ > 8000

b) A type I error occurs when a true null hypothesis is rejected.

In this situation, a Type I error would occur if it was concluded that the new compensation plan provides a population mean weekly sales greater than 8000 (correct) when in fact it does not.

c) a Type II error would occur if it was concluded that the new compensation plan does not provide a population mean weekly sales greater than 8000 when in fact, it does.

6 0
3 years ago
Liquid Tylenol has 325 milligrams of acetaminophen per 12.5 milliliters of liquid medicine (a fact that would be commonly abbrev
gulaghasi [49]

Answer:

10 milliliters

Step-by-step explanation:

260 mg/ 325 mg = x ml / 12.5 ml

12.5 ml x (260 mg / 325 mg) = 10 ml

7 0
3 years ago
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